Answer:
The slope-intercept form of the equation of the line is:
y = 2/3x + 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
(x₁, y₁) = (0, 2)
(x₂, y₂) = (3, 4)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [3 - 0]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting m = 2/3 and b = 2 in the slope-intercept form
y = mx+b
y = 2/3x + 2
Therefore, the slope-intercept form of the equation of the line is:
y = 2/3x + 2
<h2>
Answer:</h2>
Shown in the explanation
<h2>
Step-by-step explanation:</h2>
Recall that an implicit function is a relation given by the form:
Where 
is a function of two or more variables. In this case, that function is:
and is implicit because we can define it as:
having two variables.
So, let's take the derivative:
Applying chain rule:
But:
Therefore:
Isolating 
:
When 
:
Consider the first equation : -3x-8=19.
Adding 8 to both sides, we get -3x=27. Dividing by -3 yields the solution x=-9.
Consider the first equation : -3x-2=25.
Adding 2 to both sides, we get -3x=27. Dividing by -3 yields the solution x=-9, again.
Thus, the 2 equations have the same solution.
We could have achieved this result also by noticing that the second equation is equivalent to first one, adding 6 to both sides.
Answer: A) The equations have the same solution because the second can be obtained by adding 6 to both sides of the first equation.
Answer:
34/3 pi
Step-by-step explanation:
We can find the arc length by
s = r theta where theta is in radians
Change 255 to radians
255 * pi/180 = 17/12 pi
s = 8 * 17/12 pi
s = 34/3 pi
Answer:
226
Step-by-step explanation:
Hope this helps! Pls give brainliest!
